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Wolowiec CT, Kanchanavatee N, Huang K, Ran S, Breindel AJ, Pouse N, Sasmal K, Baumbach RE, Chappell G, Riseborough PS, Maple MB. Isoelectronic perturbations to f- d-electron hybridization and the enhancement of hidden order in URu 2Si 2. Proc Natl Acad Sci U S A 2021; 118:e2026591118. [PMID: 33975950 PMCID: PMC8157968 DOI: 10.1073/pnas.2026591118] [Citation(s) in RCA: 5] [Impact Index Per Article: 1.7] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 11/18/2022] Open
Abstract
Electrical resistivity measurements were performed on single crystals of URu2-x Os x Si2 up to x = 0.28 under hydrostatic pressure up to P = 2 GPa. As the Os concentration, x, is increased, 1) the lattice expands, creating an effective negative chemical pressure Pch(x); 2) the hidden-order (HO) phase is enhanced and the system is driven toward a large-moment antiferromagnetic (LMAFM) phase; and 3) less external pressure Pc is required to induce the HO→LMAFM phase transition. We compare the behavior of the T(x, P) phase boundary reported here for the URu2-x Os x Si2 system with previous reports of enhanced HO in URu2Si2 upon tuning with P or similarly in URu2-x Fe x Si2 upon tuning with positive Pch(x). It is noteworthy that pressure, Fe substitution, and Os substitution are the only known perturbations that enhance the HO phase and induce the first-order transition to the LMAFM phase in URu2Si2 We present a scenario in which the application of pressure or the isoelectronic substitution of Fe and Os ions for Ru results in an increase in the hybridization of the U-5f-electron and transition metal d-electron states which leads to electronic instability in the paramagnetic phase and the concurrent formation of HO (and LMAFM) in URu2Si2 Calculations in the tight-binding approximation are included to determine the strength of hybridization between the U-5f-electron states and the d-electron states of Ru and its isoelectronic Fe and Os substituents in URu2Si2.
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Affiliation(s)
- Christian T Wolowiec
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Noravee Kanchanavatee
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Kevin Huang
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Sheng Ran
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Alexander J Breindel
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Naveen Pouse
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Kalyan Sasmal
- Department of Physics, University of California San Diego, La Jolla, CA 92093
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
| | - Ryan E Baumbach
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32310
- Department of Physics, Florida State University, Tallahassee, FL 32306
| | - Greta Chappell
- National High Magnetic Field Laboratory, Florida State University, Tallahassee, FL 32310
- Department of Physics, Florida State University, Tallahassee, FL 32306
| | | | - M Brian Maple
- Department of Physics, University of California San Diego, La Jolla, CA 92093;
- Center for Advanced Nanoscience, University of California San Diego, La Jolla, CA 92093
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Mydosh JA, Oppeneer PM, Riseborough PS. Hidden order and beyond: an experimental-theoretical overview of the multifaceted behavior of URu 2Si 2. JOURNAL OF PHYSICS. CONDENSED MATTER : AN INSTITUTE OF PHYSICS JOURNAL 2020; 32:143002. [PMID: 31801118 DOI: 10.1088/1361-648x/ab5eba] [Citation(s) in RCA: 15] [Impact Index Per Article: 3.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 06/10/2023]
Abstract
This topical review describes the multitude of unconventional behaviors in the hidden order, heavy fermion, antiferromagnetic and superconducting phases of the intermetallic compound URu2Si2 when tuned with pressure, magnetic field, and substitutions for all three elements. Such 'perturbations' result in a variety of new phases beyond the mysterious hidden order that are only now being slowly understood through a series of state-of-the-science experimentation, along with an array of novel theoretical approaches. Despite all these efforts spanning more than 30 years, hidden order (HO) remains puzzling and non-clarified, and the search continues in 2019 into a fourth decade for its final resolution. Here we attempt to update the present situation of URu2Si2 importing the latest experimental results and theoretical proposals. First, let us consider the pristine compound as a function of temperature and report the recent measurements and models relating to its heavy Fermi liquid crossover, its HO and superconductivity (SC). Recent experiments and theories are surmized that address four-fold symmetry breaking (or nematicity), Isingness and unconventional excitation modes. Second, we review the pressure dependence of URu2Si2 and its transformation to antiferromagnetic long-range order. Next we confront the dramatic high magnetic-field phases requiring fields above 40 T. And finally, we attempt to answer how does random substitutions of other 5f elements for U, and 3d, 4d, and 5d elements for Ru, and even P for Si affect and transform the HO. Commensurately, recent theoretical models are summarized and then related to the intriguing experimental behavior.
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Affiliation(s)
- J A Mydosh
- Institute Lorentz and Kamerlingh Onnes Laboratory, Leiden University, NL-2300 RA Leiden, The Netherlands
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Knafo W, Duc F, Bourdarot F, Kuwahara K, Nojiri H, Aoki D, Billette J, Frings P, Tonon X, Lelièvre-Berna E, Flouquet J, Regnault LP. Field-induced spin-density wave beyond hidden order in URu 2Si 2. Nat Commun 2016; 7:13075. [PMID: 27762260 PMCID: PMC5080431 DOI: 10.1038/ncomms13075] [Citation(s) in RCA: 6] [Impact Index Per Article: 0.8] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 03/25/2016] [Accepted: 08/31/2016] [Indexed: 11/09/2022] Open
Abstract
URu2Si2 is one of the most enigmatic strongly correlated electron systems and offers a fertile testing ground for new concepts in condensed matter science. In spite of >30 years of intense research, no consensus on the order parameter of its low-temperature hidden-order phase exists. A strong magnetic field transforms the hidden order into magnetically ordered phases, whose order parameter has also been defying experimental observation. Here, thanks to neutron diffraction under pulsed magnetic fields up to 40 T, we identify the field-induced phases of URu2Si2 as a spin-density-wave state. The transition to the spin-density wave represents a unique touchstone for understanding the hidden-order phase. An intimate relationship between this magnetic structure, the magnetic fluctuations and the Fermi surface is emphasized, calling for dedicated band-structure calculations. The strongly-correlated electron system URu2Si2 possesses a hidden-order phase whose order parameter remains unidentified. Here, the authors demonstrate the development of spin-density-wave phases in URu2Si2 under high magnetic fields, providing a potential in-road to understanding this system.
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Affiliation(s)
- W Knafo
- Laboratoire National des Champs Magnétiques Intenses, UPR 3228, CNRS-UPS-INSA-UGA, 143 Avenue de Rangueil, 31400 Toulouse, France
| | - F Duc
- Laboratoire National des Champs Magnétiques Intenses, UPR 3228, CNRS-UPS-INSA-UGA, 143 Avenue de Rangueil, 31400 Toulouse, France
| | - F Bourdarot
- Service de Modélisation et d'Exploration des Matériaux, Université Grenoble Alpes et Commissariat á l'Energie Atomique, INAC, 17 rue des Martyrs, 38054 Grenoble, France
| | - K Kuwahara
- Institute of Quantum Beam Science, Ibaraki University, Mito 310-8512, Japan
| | - H Nojiri
- Institute for Materials Research, Tohoku University, Sendai 980-8578, Japan
| | - D Aoki
- Institute for Materials Research, Tohoku University, Ibaraki 311-1313, Japan.,Service Photonique, Electronique et Ingénierie Quantiques, Université Grenoble Alpes et Commissariat à l'Energie Atomique, INAC, 17 rue des Martyrs, 38054 Grenoble, France
| | - J Billette
- Laboratoire National des Champs Magnétiques Intenses, UPR 3228, CNRS-UPS-INSA-UGA, 143 Avenue de Rangueil, 31400 Toulouse, France
| | - P Frings
- Laboratoire National des Champs Magnétiques Intenses, UPR 3228, CNRS-UPS-INSA-UGA, 143 Avenue de Rangueil, 31400 Toulouse, France
| | - X Tonon
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble, France
| | - E Lelièvre-Berna
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble, France
| | - J Flouquet
- Service Photonique, Electronique et Ingénierie Quantiques, Université Grenoble Alpes et Commissariat à l'Energie Atomique, INAC, 17 rue des Martyrs, 38054 Grenoble, France
| | - L-P Regnault
- Institut Laue-Langevin, 71 Avenue des Martyrs, CS 20156, 38042 Grenoble, France
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Boariu FL, Bareille C, Schwab H, Nuber A, Lejay P, Durakiewicz T, Reinert F, Santander-Syro AF. Momentum-resolved evolution of the Kondo lattice into "hidden order" in URu2Si2. PHYSICAL REVIEW LETTERS 2013; 110:156404. [PMID: 25167291 DOI: 10.1103/physrevlett.110.156404] [Citation(s) in RCA: 10] [Impact Index Per Article: 0.9] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/16/2012] [Indexed: 06/03/2023]
Abstract
We study, using high-resolution angle-resolved photoemission spectroscopy, the evolution of the electronic structure in URu2Si2 at the Γ, Z, and X high-symmetry points from the high-temperature Kondo-screened regime to the low-temperature hidden-order (HO) state. At all temperatures and symmetry points, we find structures resulting from the interaction between heavy and light bands related to the Kondo-lattice formation. At the X point, we directly measure a hybridization gap of 11 meV already open at temperatures above the ordered phase. Strikingly, we find that while the HO induces pronounced changes at Γ and Z, the hybridization gap at X does not change, indicating that the hidden-order parameter is anisotropic. Furthermore, at the Γ and Z points, we observe the opening of a gap in momentum in the HO state, and show that the associated electronic structure results from the hybridization of a light electron band with the Kondo-lattice bands characterizing the paramagnetic state.
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Affiliation(s)
- F L Boariu
- Lehrstuhl für Experimentelle Physik VII, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - C Bareille
- CSNSM, Université Paris-Sud and CNRS/IN2P3, Bâtiments 104 et 108, 91405 Orsay Cedex, France
| | - H Schwab
- Lehrstuhl für Experimentelle Physik VII, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - A Nuber
- Lehrstuhl für Experimentelle Physik VII, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany
| | - P Lejay
- Institut Néel, CNRS/UJF, B.P. 166, 38042 Grenoble Cedex 9, France
| | - T Durakiewicz
- MPA-CMMS, Los Alamos National Laboratory, Los Alamos, New Mexico 87544, USA
| | - F Reinert
- Lehrstuhl für Experimentelle Physik VII, Universität Würzburg, Am Hubland, D-97074 Würzburg, Germany and Karlsruher Institut für Technologie (KIT), Gemeinschaftslabor für Nanoanalythik, D-76021 Karlsruhe, Germany
| | - A F Santander-Syro
- CSNSM, Université Paris-Sud and CNRS/IN2P3, Bâtiments 104 et 108, 91405 Orsay Cedex, France
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Correa VF, Francoual S, Jaime M, Harrison N, Murphy TP, Palm EC, Tozer SW, Lacerda AH, Sharma PA, Mydosh JA. High-magnetic-field lattice length changes in URu2Si2. PHYSICAL REVIEW LETTERS 2012; 109:246405. [PMID: 23368353 DOI: 10.1103/physrevlett.109.246405] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/07/2012] [Indexed: 06/01/2023]
Abstract
We report high-magnetic-field (up to 45 T) ĉ-axis thermal-expansion and magnetostriction experiments on URu(2)Si(2) single crystals. The sample length change ΔL(c)(T(HO))/L(c) associated with the transition to the "hidden order" phase becomes increasingly discontinuous as the magnetic field is raised above 25 T. The reentrant ordered phase III is clearly observed in both the thermal expansion ΔL(c)(T)/L(c) and magnetostriction ΔL(c)(B)/L(c) above 36 T, in good agreement with previous results. The sample length is also discontinuous at the boundaries of this phase, mainly at the upper boundary. A change in the sign of the coefficient of thermal expansion α(c)=1/L(c)(∂ΔL(c)/∂T) is observed at the metamagnetic transition (B(M) ~ 38 T), which is likely related to the existence of a quantum critical end point.
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Affiliation(s)
- V F Correa
- Centro Atómico Bariloche, CNEA, and Instituto Balseiro, UN Cuyo, 8400 Bariloche, Río Negro, Argentina
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Pépin C, Norman MR, Burdin S, Ferraz A. Modulated spin liquid: a new paradigm for URu2Si2. PHYSICAL REVIEW LETTERS 2011; 106:106601. [PMID: 21469819 DOI: 10.1103/physrevlett.106.106601] [Citation(s) in RCA: 5] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/21/2010] [Indexed: 05/30/2023]
Abstract
We argue that near a Kondo breakdown critical point, a spin liquid with spatial modulations can form. Unlike its uniform counterpart, we find that this occurs via a second order phase transition. The amount of entropy quenched when ordering is of the same magnitude as for an antiferromagnet. Moreover, the two states are competitive, and at low temperatures are separated by a first order phase transition. The modulated spin liquid we find breaks Z4 symmetry, as recently seen in the hidden order phase of URu2Si2. Based on this, we suggest that the modulated spin liquid is a viable candidate for this unique phase of matter.
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Affiliation(s)
- C Pépin
- Institut de Physique Théorique, CEA-Saclay, 91191 Gif-sur-Yvette, France
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